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math.CO2019★ 4 cited
The facial weak order on hyperplane arrangements
Aram Dermenjian, Christophe Hohlweg, Thomas McConville +1
We extend the facial weak order from finite Coxeter groups to central hyperplane arrangements. The facial weak order extends the poset of regions of a hyperplane arrangement to all…
math.CO2019
Roots of descent polynomials and an algebraic inequality on hook lengths
Pakawut Jiradilok, Thomas McConville
We prove a conjecture by Diaz-Lopez et al. that bounds the roots of descent polynomials. To do so, we prove an algebraic inequality, which we refer to as the "Slice and Push Inequa…